{
  "id": "0706.1763",
  "version": "v1",
  "published": "2007-06-12T18:37:23.000Z",
  "updated": "2007-06-12T18:37:23.000Z",
  "title": "A discrete mean value of the derivative of the Riemann zeta function",
  "authors": [
    "Nathan Ng"
  ],
  "comment": "41 pages",
  "categories": [
    "math.NT"
  ],
  "abstract": "In this article we compute a discrete mean value of the derivative of the Riemann zeta function. This mean value will be important for several applications concerning the size of $\\zeta'(\\rho)$ where $\\zeta(s)$ is the Riemann zeta function and $\\rho$ is a non-trivial zero of the Riemann zeta function.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2007-06-12T18:37:23.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11M26"
    ],
    "keywords": [
      "riemann zeta function",
      "discrete mean value",
      "derivative",
      "non-trivial zero"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 41,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2007arXiv0706.1763N"
    }
  }
}